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Finding the Fourth Proportional to 17,634.73, 26,464.88 and 6,543

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Solution

The fourth proportional to 17,634.73, 26,464.88 and 6,543 is: 9,819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.73 : 26,464.88 = 6,543 : x
  2. Step 2: Convert to fraction form
    17,634.73/26,464.88 = 6,543/x
  3. Step 3: Cross multiply
    17,634.73x = 26,464.88 × 6,543
  4. Step 4: Simplify right side
    17,634.73x = 173,159,709.84
  5. Step 5: Solve for x
    x = 173,159,709.84/17,634.73
  6. Step 6: Final answer
    x = 9,819.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.